Search a number
-
+
830294620 = 2251711321611
BaseRepresentation
bin110001011111010…
…100101001011100
32010212100100002121
4301133110221130
53200023411440
6214220032324
726401250011
oct6137245134
92125310077
10830294620
11396752701
121b20926a4
1310302bcbc
147c3b3708
154cd5d34a
hex317d4a5c

830294620 has 48 divisors (see below), whose sum is σ = 1862608608. Its totient is φ = 309800960.

The previous prime is 830294587. The next prime is 830294651. The reversal of 830294620 is 26492038.

It is a Harshad number since it is a multiple of its sum of digits (34).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 27615 + ... + 49225.

It is an arithmetic number, because the mean of its divisors is an integer number (38804346).

Almost surely, 2830294620 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 830294620, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (931304304).

830294620 is an abundant number, since it is smaller than the sum of its proper divisors (1032313988).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

830294620 is a wasteful number, since it uses less digits than its factorization.

830294620 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21750 (or 21748 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 34.

The square root of 830294620 is about 28814.8333328513. The cubic root of 830294620 is about 939.8908202755.

The spelling of 830294620 in words is "eight hundred thirty million, two hundred ninety-four thousand, six hundred twenty".

Divisors: 1 2 4 5 10 17 20 34 68 85 113 170 226 340 452 565 1130 1921 2260 3842 7684 9605 19210 21611 38420 43222 86444 108055 216110 367387 432220 734774 1469548 1836935 2442043 3673870 4884086 7347740 9768172 12210215 24420430 41514731 48840860 83029462 166058924 207573655 415147310 830294620